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Finding the Third Proportional to 552,514 and 779,871

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Solution

The third proportional to 552,514 and 779,871 is: 1,100,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,514 : 779,871 = 779,871 : x
  2. Step 2: Convert to fraction form
    552,514/779,871 = 779,871/x
  3. Step 3: Cross multiply
    552,514x = 779,871 × 779,871
  4. Step 4: Simplify right side
    552,514x = 608,198,776,641
  5. Step 5: Solve for x
    x = 608,198,776,641/552,514
  6. Step 6: Final answer
    x = 1,100,784.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.